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Thus a prism of 1 Δ would produce 1 cm visible displacement at 100 cm, or 1 meter. This can be represented mathematically as: = where is the amount of prism correction in prism dioptres, and is the angle of deviation of the light.
The Scherrer equation, in X-ray diffraction and crystallography, is a formula that relates the size of sub-micrometre crystallites in a solid to the broadening of a peak in a diffraction pattern. It is often referred to, incorrectly, as a formula for particle size measurement or analysis.
This can be described by the following equation: [ HG ] = [ H ] 0 K a [ G ] 1 + K a [ G ] {\displaystyle [{\ce {HG}}]={\frac {[{\ce {H}}]_{0}K_{\rm {a}}[{\ce {G}}]}{1+K_{\rm {a}}[{\ce {G}}]}}} By substituting the binding isotherm equation into the previous equation, the equilibrium constant K a can now be correlated to the change in absorbance ...
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak ...
Eyring equation. The Eyring equation (occasionally also known as Eyring–Polanyi equation) is an equation used in chemical kinetics to describe changes in the rate of a chemical reaction against temperature. It was developed almost simultaneously in 1935 by Henry Eyring, Meredith Gwynne Evans and Michael Polanyi.
The Fokker-Planck equation has multiple applications in information theory, graph theory, data science, finance, economics etc. It is named after Adriaan Fokker and Max Planck, who described it in 1914 and 1917. [2] [3] It is also known as the Kolmogorov forward equation, after Andrey Kolmogorov, who independently discovered it in 1931. [4]
The correction for the velocity that is obtained from the second equation one has with incompressible flow, the non-divergence criterion or continuity equation. is computed by first calculating a residual value , resulting from spurious mass flux, then using this mass imbalance to get a new pressure value. The pressure value that is attempted ...
Esophoria is an eye condition involving inward deviation of the eye, usually due to extra-ocular muscle imbalance. It is a type of heterophoria. Cause. Causes include: Refractive errors; Divergence insufficiency; Convergence excess; this can be due to nerve, muscle, congenital or mechanical anomalies.
Gibbs–Thomson equation. The Gibbs–Thomson effect, in common physics usage, refers to variations in vapor pressure or chemical potential across a curved surface or interface. The existence of a positive interfacial energy will increase the energy required to form small particles with high curvature, and these particles will exhibit an ...
The Ornstein–Uhlenbeck process on , which satisfies the stochastic differential equation = +, has generator: A f ( x ) = θ ( μ − x ) f ′ ( x ) + σ 2 2 f ″ ( x ) {\displaystyle {\mathcal {A}}f(x)=\theta (\mu -x)f'(x)+{\frac {\sigma ^{2}}{2}}f''(x)}